{"schema_version":"4.0","kind":"technical_task_solution","page":{"title":"How do you infer the transformation for aab50785.json from 5 demonstrations and solve its 15×17 test grid?","url":"https://agent-solution.dev/tasks/grid-task-aab50785-15x17-10-symbol-palette","manifest_url":"https://agent-solution.dev/tasks/grid-task-aab50785-15x17-10-symbol-palette/agent.json","description":"grid transformation — aab50785.json: 15×17 test grid, 10 symbols. Match the exact symbols, paths, and error text on the page.","updated_at":"2026-08-27"},"task_match":{"technology":"grid transformation","error_signature":"15×17 test grid, 10 symbols","focus_symbol":"aab50785.json","problem_class":"grid-transformation-puzzles","statement_kind":"official task contract and visible grid metadata","task_statement":"Grid task aab50785 ships 5 demonstration pairs and 1 test input as integer matrices over symbols 0-9.\n\nDemonstration sizes: pair 1 12×17 to 6×5; pair 2 12×15 to 2×4; pair 3 12×10 to 2×6; pair 4 13×16 to 4×3; pair 5 13×17 to 4×5.\n\nCell-level differences across each demonstration: pair 1 restates 204 cells as 30; pair 2 restates 180 cells as 8; pair 3 restates 120 cells as 12; pair 4 restates 208 cells as 12; pair 5 restates 221 cells as 20.\n\nDemonstration inputs use symbols 0, 1, 2, 3, 4, 5, 6, 7, 8, 9; demonstration outputs use symbols 0, 1, 2, 3, 4, 5, 6, 7, 9.\n\nThe test input measures 15×17, uses symbols 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, runs 52% symbol 0, and splits into 22 four-connected regions of cells that are not symbol 0. It matches none of its own mirrors or half-turn.\n\nNo transformation rule is written down anywhere in the task. Infer it from the demonstrations and construct the exact output grid for each test input; every cell must match.","technical_objective":"Read the 5 demonstration pairs printed for aab50785, work out the transformation they share, and apply it to the 15×17 test input printed below them.","success_condition":null,"upstream_source":null,"primary_terms":["aab50785","aab50785.json","15×17 test grid","palette 0 1 2 3 4 5 6 7 8 9"],"search_signals":["Test input dimensions: 15×17","Visible palette: 0, 1, 2, 3, 4, 5, 6, 7, 8, 9","Demonstration pairs: 5","Task ID: aab50785","Filename: aab50785.json"],"match_summary":"Matches grid transformation work keyed on aab50785.json: 15×17 test grid, 10 symbols.","demonstrations":{"task_id":"aab50785","grid_format":"rectangular integer matrices, symbols 0-9, one array per row","train":[{"input":[[9,2,1,5,3,4,3,0,0,0,0,5,0,0,0,0,0],[0,8,8,3,0,7,0,7,8,8,4,0,7,2,0,0,0],[1,8,8,0,2,0,0,6,8,8,0,0,0,0,0,7,0],[1,0,0,0,0,4,1,3,9,1,0,7,5,9,4,7,0],[0,0,3,2,2,0,2,6,0,4,9,2,4,0,3,0,5],[0,6,8,8,3,0,1,9,2,8,8,0,3,0,4,0,0],[0,0,8,8,0,7,9,2,9,8,8,0,9,3,0,0,9],[0,0,0,4,0,7,5,7,5,0,1,3,0,2,0,0,0],[0,0,9,9,3,6,4,0,4,7,2,0,9,0,0,9,0],[9,1,9,0,0,7,1,5,7,1,0,5,0,5,9,6,9],[0,0,3,7,2,0,8,8,9,0,0,0,0,8,8,1,0],[6,7,0,4,0,4,8,8,0,4,0,2,0,8,8,5,0]],"output":[[3,0,7,0,7],[0,2,0,0,6],[3,0,1,9,2],[0,7,9,2,9],[9,0,0,0,0],[0,4,0,2,0]]},{"input":[[0,4,0,1,0,0,0,1,0,0,0,0,0,0,0],[0,0,3,0,0,7,9,0,7,7,0,0,1,3,0],[2,0,0,0,0,6,0,0,0,0,0,0,0,0,0],[0,0,0,0,8,8,3,5,9,1,8,8,0,2,0],[0,0,0,0,8,8,1,0,0,6,8,8,3,0,0],[2,0,0,0,5,0,0,0,0,0,9,2,0,0,2],[0,0,9,0,4,9,9,9,0,2,9,6,1,4,0],[0,0,0,0,0,0,9,4,0,0,0,0,0,0,5],[1,0,0,0,0,0,0,9,0,0,0,5,0,6,0],[2,1,0,0,6,0,6,2,7,0,4,0,0,0,7],[0,9,0,0,2,0,5,0,1,0,0,0,0,5,3],[4,0,0,3,0,0,0,0,0,0,0,0,4,0,0]],"output":[[3,5,9,1],[1,0,0,6]]},{"input":[[9,0,0,5,0,0,0,0,4,4],[9,4,0,0,0,0,0,0,5,0],[2,2,0,6,0,0,5,0,5,3],[2,9,0,2,6,4,0,1,0,0],[0,0,2,9,0,4,9,1,1,3],[8,8,1,0,9,7,7,0,8,8],[8,8,4,0,0,5,6,4,8,8],[0,5,9,0,0,0,0,0,0,0],[0,0,0,1,0,5,0,0,3,0],[0,9,0,0,0,0,0,7,0,9],[0,0,5,1,7,0,0,0,9,9],[0,0,9,0,0,1,0,0,0,7]],"output":[[1,0,9,7,7,0],[4,0,0,5,6,4]]},{"input":[[0,7,2,7,0,2,0,0,0,4,0,0,1,0,0,0],[0,1,0,0,0,0,0,6,0,0,2,0,0,7,3,1],[0,0,8,8,6,5,2,8,8,1,0,2,4,5,0,0],[0,0,8,8,0,0,2,8,8,0,0,7,1,0,0,7],[0,0,0,0,4,0,0,0,9,0,7,0,0,0,0,0],[8,8,1,3,0,8,8,0,0,0,0,9,0,3,0,1],[8,8,0,0,9,8,8,0,0,0,0,0,3,0,9,2],[0,0,7,0,0,0,0,0,0,9,3,4,0,0,0,0],[4,0,0,9,0,9,0,0,7,3,0,6,0,4,0,5],[6,0,0,0,4,0,0,3,0,0,2,0,5,0,0,0],[0,0,0,0,3,0,0,0,1,2,0,4,0,0,0,0],[4,5,0,0,6,0,4,0,0,0,0,0,5,2,0,2],[0,9,0,6,0,0,0,7,2,0,9,3,0,0,0,6]],"output":[[6,5,2],[0,0,2],[1,3,0],[0,0,9]]},{"input":[[0,2,0,0,0,0,4,5,0,0,1,0,6,5,0,0,0],[9,0,4,3,0,0,9,0,4,7,9,4,6,0,2,7,0],[0,7,3,0,0,0,9,0,0,9,0,0,9,9,9,5,0],[0,5,5,3,0,3,0,6,0,4,7,2,3,2,0,3,0],[0,8,8,0,0,0,7,0,8,8,9,0,0,6,0,0,4],[0,8,8,6,4,3,1,9,8,8,0,0,0,0,0,0,7],[9,0,0,9,5,2,0,0,0,0,0,0,2,0,0,0,1],[0,2,9,9,0,0,9,0,7,1,0,0,0,9,0,0,0],[0,7,0,8,8,0,4,0,6,0,8,8,9,0,0,0,0],[0,2,4,8,8,0,3,0,0,6,8,8,6,5,7,9,0],[0,0,9,2,0,2,0,0,0,7,9,0,0,0,5,7,1],[1,0,0,3,0,1,0,4,1,4,0,0,0,0,1,0,9],[1,0,6,2,1,4,6,0,0,1,9,0,3,0,1,4,0]],"output":[[0,0,0,7,0],[6,4,3,1,9],[0,4,0,6,0],[0,3,0,0,6]]}],"test":[{"input":[[0,0,6,9,0,0,0,9,0,0,7,0,9,0,0,9,0],[0,0,0,0,0,0,0,6,7,0,0,0,0,0,0,0,0],[0,0,4,4,0,9,0,0,0,0,0,2,0,1,0,5,1],[2,1,0,8,8,4,1,5,0,8,8,0,1,0,4,0,0],[0,7,3,8,8,0,9,0,0,8,8,0,6,0,4,7,2],[2,5,0,4,0,0,0,0,7,9,0,9,5,0,4,0,1],[8,8,5,9,0,4,8,8,4,0,3,7,0,0,0,0,5],[8,8,7,7,0,0,8,8,6,4,7,0,6,0,0,0,4],[0,6,9,0,4,0,0,3,0,9,0,3,0,0,0,3,4],[0,5,2,0,0,0,0,2,9,0,0,6,0,4,5,0,0],[0,7,0,3,8,8,4,5,4,3,8,8,9,5,0,3,0],[0,0,0,0,8,8,0,0,7,0,8,8,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,2,0,1,0,3,5,0],[0,9,2,0,0,0,9,8,8,0,0,6,0,8,8,0,6],[0,0,0,9,0,0,0,8,8,0,7,0,4,8,8,0,0]]}],"solution_access":"request_endpoint","source":{"holder":"ARC Prize Foundation","license":"Apache-2.0"}}},"evidence_search":{"guide_url":"https://agent-solution.dev/tasks/grid-task-aab50785-15x17-10-symbol-palette/llms.txt","method":"GET","url":"https://agent-solution.dev/tasks/grid-task-aab50785-15x17-10-symbol-palette/search","url_template":"https://agent-solution.dev/tasks/grid-task-aab50785-15x17-10-symbol-palette/search?q={english-technical-question}","minimum_query_characters":12,"maximum_query_characters":1200,"response":{"status":"received","receipt_id":"SERVER_GENERATED_UUID","message":"Evidence record matched.","evidence_record":{"title":"How do you infer the transformation for aab50785.json from 5 demonstrations and solve its 15×17 test grid?","summary":"Matches grid transformation work keyed on aab50785.json: 15×17 test grid, 10 symbols.","task_statement":"Grid task aab50785 ships 5 demonstration pairs and 1 test input as integer matrices over symbols 0-9.\n\nDemonstration sizes: pair 1 12×17 to 6×5; 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It matches none of its own mirrors or half-turn.\n\nNo transformation rule is written down anywhere in the task. 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